The Statistics of Crumpled Paper

Abstract

A statistical study of crumpled paper is allowed by a minimal 1D model: a self-avoiding line bent at sharp angles -- in which resides the elastic energy -- put in a confining potential. Many independent equilibrium configurations are generated numerically and their properties are investigated. At small confinement, the distribution of segment lengths is log-normal in agreement with previous predictions and experiments. At high confinement, the system approaches a jammed state with a critical behavior, whereas the length distribution follows a Gamma law which parameter is predicted as a function of the number of layers in the system.

References in corpus (11)

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• The spontaneous emergence of ordered phases in crumpled sheets
• Crumpling under an ambient pressure
• Compaction of Quasi One-Dimensional Elastoplastic Materials
• Condensation of elastic energy in two-dimensional packing of wire
• A model for the fragmentation kinetics of crumpled thin sheets
• Energy distributions and effective temperatures in the packing of elastic sheets
• Crumpling for Energy: Modeling Generated Power from the Crumpling of Polymer Piezoelectric Foils for Wearable Electronics
• Statistical distributions in the folding of elastic structures
• Power law scaling of lateral deformations with universal Poissons index for randomly folded thin sheets
• Topological crossovers in the forced folding of self-avoiding matter
• Crumpling wires in two dimensions
• Layering in Crumpled Sheets
• Dynamics of Fluctuating Thin Sheets Under Random Forcing
• The Structure of Fluctuating Thin Sheets Under Random Forcing
• Transition to stress focusing for locally curved sheets